Free Printable Intro to Unit Circle Part 2

1.

Add:

$\frac{\pi}{3}+2\pi$

a)

$\frac{7\pi}{3}$

b)

$-\frac{5\pi}{3}$

c)

$\frac{3\pi}{3}$

d)

$\frac{7\pi}{6}$

2.

Subtract:

$\frac{\pi}{3}-2\pi$

a)

$\frac{7\pi}{3}$

b)

$-\frac{5\pi}{3}$

c)

$\frac{3\pi}{3}$

d)

$\frac{7\pi}{6}$

3.

Add:

$\frac{3\pi}{4}+2\pi$

a)

$\frac{5\pi}{4}$

b)

$\frac{11\pi}{8}$

c)

$\frac{11\pi}{4}$

d)

$-\frac{5\pi}{4}$

4.

Subtract:

$\frac{3\pi}{4}-2\pi$

a)

$\frac{5\pi}{4}$

b)

$\frac{11\pi}{8}$

c)

$\frac{11\pi}{4}$

d)

$-\frac{5\pi}{4}$

5.

Add:

$-\frac{5\pi}{6}+2\pi$

a)

$-\frac{7\pi}{6}$

b)

$\frac{7\pi}{6}$

c)

$-\frac{17\pi}{6}$

d)

$-\frac{3\pi}{6}$

6.

Subtract:

$-\frac{5\pi}{6}-2\pi$

a)

$-\frac{7\pi}{6}$

b)

$\frac{7\pi}{6}$

c)

$-\frac{17\pi}{6}$

d)

$-\frac{3\pi}{6}$

7.

The POSITIVE co-terminal angle for $-120\degree$ is (a) degrees.

8.

The NEGATIVE co-terminal angle for $-120\degree$ is (a) degrees.

9.

The POSITIVE co-terminal angle for $300\degree$ is (a) degrees.

10.

The NEGATIVE co-terminal angle for $300\degree$ is (a) degrees.

11.

The POSITIVE co-terminal angle for $170\degree$ is (a) degrees.

12.

The NEGATIVE co-terminal angle for $170\degree$ is (a) degrees.

13.

The POSITIVE co-terminal angle for $-14\degree$ is (a) degrees.

14.

The NEGATIVE co-terminal angle for $-14\degree$ is (a) degrees.

15.

Find the POSITIVE co-terminal angle for:

$\frac{\pi}{2}$

a)

$\frac{5\pi}{4}$

b)

$\frac{5\pi}{2}$

c)

$\frac{4\pi}{4}$

d)

$-\frac{3\pi}{2}$

16.

Find the NEGATIVE co-terminal angle for:

$\frac{\pi}{2}$

a)

$\frac{5\pi}{4}$

b)

$-\frac{5\pi}{2}$

c)

$-\frac{4\pi}{4}$

d)

$-\frac{3\pi}{2}$

17.

Find the POSITIVE co-terminal angle for:

$\frac{3\pi}{7}$

a)

$\frac{17\pi}{7}$

b)

$-\frac{11\pi}{7}$

c)

$\frac{17\pi}{14}$

d)

$\frac{5\pi}{7}$

18.

Find the NEGATIVE co-terminal angle for:

$\frac{3\pi}{7}$

a)

$\frac{17\pi}{7}$

b)

$-\frac{11\pi}{7}$

c)

$-\frac{17\pi}{14}$

d)

$\frac{5\pi}{7}$

19.

Find the reference angle for an angle measuring -310⁰

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

20.

What is the reference angle for 125 degrees?

a)

235 degrees

b)

125 degrees

c)

75 degrees

d)

55 degrees

21.

Which sketch is -295°?

a)

A

b)

B

c)

C

d)

D

22.

What is the reference angle for 125 degrees?

a)

235 degrees

b)

125 degrees

c)

75 degrees

d)

55 degrees

23.

What is the reference angle for 63°?

a)

117°

b)

207°

c)

63°

d)

153°

24.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

25.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

26.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

27.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

28.

What is the degree equivalent to -135^o

^{**Find coterminal angles}

a)

225^o

b)

215^o

c)

235^o

d)

45^o

29.

Given the point (4, -3) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

4/5

b)

5/4

c)

$-\frac{\sqrt{5}}{2}$

d)

$\frac{\sqrt{5}}{5}$

30.

Given the point (4, -3) on the terminal side of the angle $\theta.$

What is tan $\theta?$

a)

-5/3

b)

4/5

c)

-3/5

d)

-3/4

31.

Given the point (-4, -3) on the terminal side of the angle $\theta.$

What is sin $\theta?$

a)

3/5

b)

-5/4

c)

-3/5

d)

-4/5

32.

Given the point (6, 3) on the terminal side of the angle $\theta.$

What is sec $\theta?$

a)

$\sqrt{5}$

b)

$\frac{\sqrt{5}}{2}$

c)

1/2

d)

2

33.

Given the point (-7, $\sqrt{15}$ ) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

-8/7

b)

$-\frac{\sqrt{15}}{7}$

c)

-7/8

d)

$-\frac{7\sqrt{15}}{15}$

34.

Which quadrant is 230⁰ in?

a)

I

b)

II

c)

III

d)

IV

35.

Which quadrant is 120^o in?

a)

I

b)

II

c)

III

d)

IV

36.

135° is found in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

37.

What is the reference angle for 275 degrees?

a)

85 degrees

b)

95 degrees

c)

-85 degrees

d)

-95 degrees

38.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

39.

If an angle is rotated x degrees and the terminal point is (5, -12), then what is the value of sinx?

a)

12/13

b)

-12/13

c)

5/13

d)

-12/5

40.

If an angle is rotated x degrees and the terminal point is (-3,4), then what is the value of cotx

a)

-3/4

b)

-4/3

c)

4/5

d)

-3/5

41.

Find sin(θ) given that the terminal side of θ contains the point (-19, 19).

a)

$\frac{\sqrt{2}}{2}$

b)

$-1$

c)

$-\sqrt{2}$

d)

$-\frac{\sqrt{2}}{19}$

42.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

$\frac{3\sqrt{5}}{5}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{5}}{2}$

d)

$-\frac{\sqrt{5}}{3}$

43.

Find cos(θ) given that the terminal side of θ contains the point $\left(-9,\ 6\right)$ .

a)

$-\frac{3\sqrt{13}}{13}$

b)

$-\frac{\sqrt{13}}{3}$

c)

$\frac{3}{2}$

d)

$\frac{\sqrt{13}}{3}$

44.

Given the point (-4, -3) on the terminal side of the angle $\theta.$

What is sin $\theta?$

a)

3/5

b)

-5/4

c)

-3/5

d)

-4/5

45.

Given the point (6, 3) on the terminal side of the angle $\theta.$

What is sec $\theta?$

a)

$\sqrt{5}$

b)

$\frac{\sqrt{5}}{2}$

c)

1/2

d)

2

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

$\frac{4\sqrt{3}}{3\sqrt{2}}$ Fully simplify....

a)

b)

c)

d)

49.

Simplify:
$\frac{16\sqrt{42}}{2\sqrt{14}}$

a)

$8\sqrt{14}$

b)

$3\sqrt{8}$

c)

$8\sqrt{3}$

d)

$\frac{\sqrt{3}}{8}$

50.

Simplify.

a)

b)

c)

d)

51.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

52.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

53.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

54.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

55.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

56.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

57.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

58.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

59.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

60.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

61.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

62.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

63.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

64.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

65.

What is 7π/6 radians in degrees?
225⁰ 210⁰ 270⁰ 240⁰

a)

225

b)

210

c)

270

d)

240

66.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

67.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

68.

What is 240 degrees in radians?

a)

π/3

b)

4π/3

c)

5π/3

d)

2π/3

69.

What is $270\degree$ in radians?

a)

$\frac{\pi}{4}$

b)

$\frac{3\pi}{2}$

c)

$\frac{3\pi}{4}$

d)

$\frac{\pi}{2}$

70.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

71.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

72.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

73.

To convert from degrees to RADIANS

a)

multiply by

\frac{π}{180°}

b)

multiply by
$\frac{180°}{π}$

c)

multiply by
$\frac{π}{\sqrt{2}}$

d)

multiply by
$\frac{π}{\sqrt{3}}$

74.

Convert 330⁰ to radians

a)

11π/6

b)

11π/3

c)

11π/9

d)

7π/6

75.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

76.

Convert 510^o to Radians

(a)

Choose from the below words

25π / 3

23π / 8

17π / 6

51π / 8

Intro to Unit Circle Part 2

Total questions: 76

Worksheet time: 6hrs 51mins

Similar Resources on Wayground